en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of y^{3/2}

Solution

\int y^{\frac{3}{2}} d y

Solution

\frac{2}{5} y^{\frac{5}{2}} + C

Solution steps

\int y^{\frac{3}{2}} d y

Apply the Power Rule

: \frac{2}{5} y^{\frac{5}{2}}

= \frac{2}{5} y^{\frac{5}{2}}

Add a constant to the solution

= \frac{2}{5} y^{\frac{5}{2}} + C

Popular Examples

derivative of ln(cos(t))derivative of

ln (cos (t))

derivative of (x^2-5x^4)

\frac{d}{d x} ((x^{2} - 5 x)^{4})

sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3))

n = 1 \sum \infty \frac{( ( - 1 ) ^{(n - 1)} )}{( ( 2 n - 1 ) ^{3} )}

integral of (x^2-4x+5)/((x^2-1)(x+3))

\int \frac{x ^{2} - 4 x + 5}{( x ^{2} - 1 ) ( x + 3 )} d x

integral from 1 to 4 of xln(x)

\int_{1}^{4} x ln (x) d x

Frequently Asked Questions (FAQ)

What is the integral of y^{3/2} ?
The integral of y^{3/2} is 2/5 y^{5/2}+C